The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the
quadrilateral.
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The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the
quadrilateral.
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Let the four angles of the quadrilateral be 3x, 5x, 9x and 13x
=》 3x+5x+9x+13x=360∘
[sum of all angles of the quadrilateral is 360∘]
=》30x=360∘
=》 x=12∘
Hence, the angles of the quadrilateral are (3×12)∘ = 36∘, (5×12)∘= 60∘, (9×12)° = 108 and (13 ×12)° = 156°
The answer is = 36° , 60°, 108°, 156°
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